Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42 |
| direct product | C2×#19098409 |
| Sylow | C79 ⋊ C2×#376 |
840 conjugacy classes of subgroups; only the 469 normal subgroups are shown.
This group has 840 conjugacy classes of subgroups — too many to draw. Only its 469 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
2576 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#23761228, #34177670, #34177859, … |
| maximal normal subgroup of | C2×#23761228, #34177670, #34177859, … |
| maximal quotient of | C2×C4×C79⋊#95, C4×#19098409, C2×#23761625, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6837);